TSTP Solution File: MGT049+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 22:10:13 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   35 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   33 (  12   ~;   9   |;   6   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (   8 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_6,axiom,
    ! [X1,X4,X5] :
      ( organization(X1)
     => ( ( greater(external_ties(X1,X5),external_ties(X1,X4))
         => greater(position(X1,X5),position(X1,X4)) )
        & ( external_ties(X1,X5) = external_ties(X1,X4)
         => position(X1,X5) = position(X1,X4) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',assumption_6) ).

fof(assumption_11,axiom,
    ! [X1,X4,X5] :
      ( organization(X1)
     => external_ties(X1,X5) = external_ties(X1,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',assumption_11) ).

fof(lemma_6,conjecture,
    ! [X1,X4,X5] :
      ( ( organization(X1)
        & greater(age(X1,X5),age(X1,X4)) )
     => position(X1,X5) = position(X1,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lemma_6) ).

fof(c_0_3,plain,
    ! [X6,X7,X8,X7,X8] :
      ( ( ~ greater(external_ties(X6,X8),external_ties(X6,X7))
        | greater(position(X6,X8),position(X6,X7))
        | ~ organization(X6) )
      & ( external_ties(X6,X8) != external_ties(X6,X7)
        | position(X6,X8) = position(X6,X7)
        | ~ organization(X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])])])]) ).

fof(c_0_4,plain,
    ! [X6,X7,X8] :
      ( ~ organization(X6)
      | external_ties(X6,X8) = external_ties(X6,X7) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])])])]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X4,X5] :
        ( ( organization(X1)
          & greater(age(X1,X5),age(X1,X4)) )
       => position(X1,X5) = position(X1,X4) ),
    inference(assume_negation,[status(cth)],[lemma_6]) ).

cnf(c_0_6,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_8,negated_conjecture,
    ( organization(esk1_0)
    & greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
    & position(esk1_0,esk3_0) != position(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1) ),
    inference(csr,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    position(esk1_0,esk3_0) != position(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    position(esk1_0,X1) = position(esk1_0,X2),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 10:52:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.014 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 14
% 0.23/1.41  # Proof object clause steps            : 7
% 0.23/1.41  # Proof object formula steps           : 7
% 0.23/1.41  # Proof object conjectures             : 7
% 0.23/1.41  # Proof object clause conjectures      : 4
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 4
% 0.23/1.41  # Proof object initial formulas used   : 3
% 0.23/1.41  # Proof object generating inferences   : 1
% 0.23/1.41  # Proof object simplifying inferences  : 2
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 9
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 4
% 0.23/1.41  # Initial clauses                      : 8
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 8
% 0.23/1.41  # Processed clauses                    : 10
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 10
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 12
% 0.23/1.41  # ...of the previous two non-trivial   : 7
% 0.23/1.41  # Contextual simplify-reflections      : 1
% 0.23/1.41  # Paramodulations                      : 11
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 9
% 0.23/1.41  #    Positive orientable unit clauses  : 2
% 0.23/1.41  #    Positive unorientable unit clauses: 1
% 0.23/1.41  #    Negative unit clauses             : 0
% 0.23/1.41  #    Non-unit-clauses                  : 6
% 0.23/1.41  # Current number of unprocessed clauses: 5
% 0.23/1.41  # ...number of literals in the above   : 9
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 1
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 7
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 7
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.23/1.41  # Unit Clause-clause subsumption calls : 0
% 0.23/1.41  # Rewrite failures with RHS unbound    : 8
% 0.23/1.41  # BW rewrite match attempts            : 4
% 0.23/1.41  # BW rewrite match successes           : 4
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 654
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.015 s
% 0.23/1.41  # System time              : 0.000 s
% 0.23/1.41  # Total time               : 0.015 s
% 0.23/1.41  # Maximum resident set size: 2808 pages
%------------------------------------------------------------------------------